We propose a novel dual processing model of linguistic routinisation, specifically
formulaic ex- pressions (from relatively fixed idioms, all the way through to looser
collocational phenomena). This model is formalised using the Dynamic Syntax (DS) formal
account of language processing, whereby we make a specific extension to the core DS
lexical architecture to capture the dynamics of linguistic routinisation. This extension
is inspired by work within cognitive science more broadly. DS has a range of attractive
modelling features, such as full incrementality, as well as recent ac- counts of using
resources of the core grammar for modelling a range of dialogue phenomena, all of which
we deploy in our account. This leads to not only a fully incremental model of formulaic
lan- guage, but further, this straightforwardly extends to routinised dialogue
phenomena. We consider this approach to be a proof of concept of how interdisciplinary
work within cognitive science holds out the promise of meeting challenges faced by
modellers of dialogue and discourse.